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Finding the Fourth Proportional to 212.70, 293.56 and 154.64

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Solution

The fourth proportional to 212.70, 293.56 and 154.64 is: 213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.70 : 293.56 = 154.64 : x
  2. Step 2: Convert to fraction form
    212.70/293.56 = 154.64/x
  3. Step 3: Cross multiply
    212.70x = 293.56 × 154.64
  4. Step 4: Simplify right side
    212.70x = 45,396.12
  5. Step 5: Solve for x
    x = 45,396.12/212.70
  6. Step 6: Final answer
    x = 213.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.